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In this paper, we present an algorithm for simultaneously refining a probability distribution function (PDF) for the pose of a sensor network (i.e. the locations of the sensors), and inferring the spatial variations of measured environmental parameters. Our approach iteratively refines a network pose PDF by assuming that environmental parameters vary smoothly. Both our physical experiments, which...
We introduce a novel algorithm to compute a dense sample of points on the medial locus of a polyhedral object, with a guarantee that each medial point is within a specified tolerance ?? from the medial surface. Motivated by Damon's work on the relationship between the differential geometry of the smooth boundary of an object and its medial surface, we then develop a computational method by which boundary...
The classical mover's problem is the following: can a rigid object in 3-dimensional space be moved from one given position to another while avoiding obstacles? It is known that a more general version of this problem involving objects with movable joints is PSPACE-complete, even for a simple tree-like structure. In this paper, we investigate a 2-dimensional mover's problem in which the object being...
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